It’s important to have multiple versions for two main reasons:
First of all, from an SEO perspective, unique content helps a profile or website rank better in search results. Search engines like Google, want to provide users with a range of information. Your websites and profiles have a better chance of ranking well if the bios are unique than if the same bio is copy and pasted on all of your properties.
While some of the core information will naturally stay the same, make a point to diversify how you write each bio. From a branding perspective, it’s wise to have different versions of your bio available with the platform where it will ultimately be published in mind.
Consider the tone in your writing, it should vary for different audiences and contexts. Keep in mind that different sites have different allowances in terms of word count – find the word and character allowances before you start writing for that site. This will make the whole process of writing a bio much easier.